{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as datasets\n",
    "\n",
    "import torch\n",
    "from torch import nn\n",
    "from torch import optim\n",
    "\n",
    "from nflows.flows.base import Flow\n",
    "from nflows.distributions.normal import ConditionalDiagonalNormal\n",
    "from nflows.transforms.base import CompositeTransform\n",
    "from nflows.transforms.autoregressive import MaskedAffineAutoregressiveTransform\n",
    "from nflows.transforms.permutations import ReversePermutation\n",
    "from nflows.nn.nets import ResidualNet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = datasets.make_moons(128, noise=.1)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_layers = 5\n",
    "base_dist = ConditionalDiagonalNormal(shape=[2], \n",
    "                                      context_encoder=nn.Linear(1, 4))\n",
    "\n",
    "transforms = []\n",
    "for _ in range(num_layers):\n",
    "    transforms.append(ReversePermutation(features=2))\n",
    "    transforms.append(MaskedAffineAutoregressiveTransform(features=2, \n",
    "                                                          hidden_features=4, \n",
    "                                                          context_features=1))\n",
    "transform = CompositeTransform(transforms)\n",
    "\n",
    "flow = Flow(transform, base_dist)\n",
    "optimizer = optim.Adam(flow.parameters())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_iter = 5000\n",
    "for i in range(num_iter):\n",
    "    x, y = datasets.make_moons(128, noise=.1)\n",
    "    x = torch.tensor(x, dtype=torch.float32)\n",
    "    y = torch.tensor(y, dtype=torch.float32).reshape(-1, 1)\n",
    "    optimizer.zero_grad()\n",
    "    loss = -flow.log_prob(inputs=x, context=y).mean()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    \n",
    "    if (i + 1) % 500 == 0:\n",
    "        fig, ax = plt.subplots(1, 2)\n",
    "        xline = torch.linspace(-1.5, 2.5)\n",
    "        yline = torch.linspace(-.75, 1.25)\n",
    "        xgrid, ygrid = torch.meshgrid(xline, yline)\n",
    "        xyinput = torch.cat([xgrid.reshape(-1, 1), ygrid.reshape(-1, 1)], dim=1)\n",
    "\n",
    "        with torch.no_grad():\n",
    "            zgrid0 = flow.log_prob(xyinput, torch.zeros(10000, 1)).exp().reshape(100, 100)\n",
    "            zgrid1 = flow.log_prob(xyinput, torch.ones(10000, 1)).exp().reshape(100, 100)\n",
    "\n",
    "        ax[0].contourf(xgrid.numpy(), ygrid.numpy(), zgrid0.numpy())\n",
    "        ax[1].contourf(xgrid.numpy(), ygrid.numpy(), zgrid1.numpy())\n",
    "        plt.title('iteration {}'.format(i + 1))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
